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Finding the Fourth Proportional to 32,709.24, 49,035.24 and 11,646

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Solution

The fourth proportional to 32,709.24, 49,035.24 and 11,646 is: 17,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.24 : 49,035.24 = 11,646 : x
  2. Step 2: Convert to fraction form
    32,709.24/49,035.24 = 11,646/x
  3. Step 3: Cross multiply
    32,709.24x = 49,035.24 × 11,646
  4. Step 4: Simplify right side
    32,709.24x = 571,064,405.04
  5. Step 5: Solve for x
    x = 571,064,405.04/32,709.24
  6. Step 6: Final answer
    x = 17,458.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.